Occasionally a planet will torque a comet into a slightly hyperbolic trajectory, but planetary scientists had never seen one so extreme.
Pulling alongside a body on a hyperbolic trajectory and then returning to Earth requires too much energy for chemically propelled rockets to do the job.
Eventually, the spacecraft enters a hyperbolic trajectory
and escapes Jupiter SOI .
For illustration purposes let us consider a hyperbolic trajectory
of a test particle with the mass m in the gravitational field of the mass M resting in the origin of coordinates.
Here we have only used asymptotic osculating hyperbolic trajectory
data from .
But its extreme orbital eccentricity, 1.19, meant that it's following a hyperbolic trajectory
that's not bound to the Sun.